In 1992, Dyson published Feynman's proof of the homogeneous Maxwell equatio
ns assuming only the Newton's law of motion and the commutation relations b
etween position and velocity for a nonrelativistic particle. Recently Tanim
ura gave a generalization of this proof in a relativistic context. Using th
e Hodge duality we extend his approach in order to derive the two groups of
Maxwell equations with a magnetic monopole in flat and curved spaces. (C)
1999 American Institute of Physics. [S0022-2488(99)00408-9].